Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

How to localize excitations in a quantum computer with perpetually coupled qubits

M. I. Dykman, Léa Ferreira dos Santos, Michael Zalmanovich Shapiro, Felix M. Izrailev

Published May 25, 2004• 0 citations
Publisher

Abstract

Strong many-particle localization is studied in a 1D array of perpetually coupled qubits and an equivalent 1D system of interacting fermions. We construct a bounded sequence of the on-site fermion energies, or qubit transition frequencies, that suppresses resonant hopping between both nearest and remote neighbors. Besides quasi-exponential decay of the single-particle transition amplitude,it leads to long lived strongly localized many-particle states. This makes quantum computing with time-independent qubit coupling viable.

DOI
10.1117/12.546897

Related papers

Strong many-particle localization and quantum computing with perpetually coupled qubits

Léa Ferreira dos Santos, M. I. Dykman, Michael Zalmanovich Shapiro +1 more

We demonstrate the onset of strong on-site localization in a many-particle system, with effective localization length smaller than the intersite distance. The localization is obtained by constructing a bounded one-parameter sequence of on-site energies that eliminates resonant hopping between both nearest and remote sites. This sequence leads to quasiexponential decay of the single-particle transition amplitude. It also leads to on-site localization of stationary many-particle states in a finite-length chain. For an infinite many-particle system, we study the time during which all states remain on-site localized. We show that, for any number of particles, this time scales as a high power of the ratio of the bandwidth of on-site energies to the hopping integral. The proposed energy sequence is robust with respect to small errors. The formulation applies to fermions as well as perpetually coupled qubits. The results show viability of quantum computing with time-independent qubit coupling.

arXiv:quant-ph/0405013•Physical Review A•Jan 13, 2005•39 citations

Many-particle localization by constructed disorder: enabling quantum computing with perpetually coupled qubits

M. I. Dykman, Felix M. Izrailev, Léa Ferreira dos Santos +1 more

We demonstrate that, in a many-particle system, particles can be strongly confined to their sites. The localization is obtained by constructing a sequence of on-site energies that efficiently suppresses resonant hopping. The time during which a many-particle state remains strongly localized in an infinite chain can exceed the reciprocal hopping frequency by $\agt 10^6$ already for a narrow energy bandwidth. The results show viability of quantum computers with time-independent qubit coupling.

arXiv:cond-mat/0401201•Jan 13, 2004•1 citation

Many-particle confinement by constructed disorder and quantum computing

M. I. Dykman, L F Santos, M Shapiro

Many-particle confinement (localization) is studied for a 1D system of spinless fermions with nearest-neighbor hopping and interaction, or equivalently, for an anisotropic Heisenberg spin-1/2 chain. This system is frequently used to model quantum computers with perpetually coupled qubits. We construct a bounded sequence of site energies that leads to strong single-particle confinement of all states on individual sites. We show that this sequence also leads to a confinement of all many-particle states in an infinite system for a time that scales as a high power of the reciprocal hopping integral. The confinement is achieved for strong interaction between the particles while keeping the overall bandwidth of site energies comparatively small. The results show viability of quantum computing with time-independent qubit coupling.

arXiv:cond-mat/0507493•Journal of Optics B Quantum and Semiclassical Optics•Sep 21, 2005•7 citations

Many-particle localization by constructed disorder and quantum computing

M. I. Dykman

We demonstrate the onset of strong localization in a one dimensional fermion system, where all particles are almost completely confined to their sites. The on‐site localization is obtained by constructing a bounded one‐parameter sequence of site energies that eliminates resonant hopping between both nearest and remote sites. In an infinite system the time during which all many‐particle states remain on‐site localized scales as a high power of the ratio of the bandwidth of site energies to the hopping integral. The results apply to a system of perpetually coupled qubits and demonstrate that such system can be used for quantum computing.

AIP conference proceedings•Jan 1, 2005•2 citations

On-site localization of excitations

M. I. Dykman, Léa Ferreira dos Santos, Michael Zalmanovich Shapiro +1 more

We demonstrate that, in a quantum computer with perpetually coupled qubits, all excitations can be confined to their sites (qubits) even without refocusing. The on-site localization is obtained by constructing a sequence of qubit energies that efficiently suppresses resonant hopping. The time during which a many-excitation state remains strongly localized in an infinite chain can exceed the reciprocal hopping frequency by $\agt 10^5$ already for a moderate bandwidth of qubit energies. The proposed energy sequence is also convenient for performing quantum operations on the qubits.

Quantum Information and Computation•Jul 1, 2005•3 citations

von Neumann entropy and on-site localization for perpetually coupled qubits

Kingshuk Majumdar

We use the von Neumann entropy to study the single- and many-particle on-site localizations of stationary states for an anisotropic Heisenberg spin-$\frac{1}{2}$ chain. With a constructed bounded sequence of on-site energies for single- and many-particle systems we demonstrate that the von Neumann entropy approaches zero, indicating strong on-site localizations for all states. On the contrary, random on-site energy sequence does not lead to strong on-site confinement of all states. Our numerical results indicate that the von Neumann entropy provides insight to analyze on-site localizations for these systems.

arXiv:0811.3757•Physical Review B•Mar 30, 2009•2 citations
Strong many-particle localization is studied in a 1D array of perpetually coupled qubits and an equivalent 1D system of interacting fermions. We construct a bounded sequence of the on-site fermion energies, or qubit transition frequencies, that suppresses resonant hopping between both nearest and remote neighbors. Besides quasi-exponential decay of the single-particle transition amplitude,it leads to long lived strongly localized many-particle states. This makes quantum computing with time-independent qubit coupling viable.
We demonstrate the onset of strong on-site localization in a many-particle system, with effective localization length smaller than the intersite distance. The localization is obtained by constructing a bounded one-parameter sequence of on-site energies that eliminates resonant hopping between both nearest and remote sites. This sequence leads to quasiexponential decay of the single-particle transition amplitude. It also leads to on-site localization of stationary many-particle states in a finite-length chain. For an infinite many-particle system, we study the time during which all states remain on-site localized. We show that, for any number of particles, this time scales as a high power of the ratio of the bandwidth of on-site energies to the hopping integral. The proposed energy sequence is robust with respect to small errors. The formulation applies to fermions as well as perpetually coupled qubits. The results show viability of quantum computing with time-independent qubit coupling.
We demonstrate that, in a many-particle system, particles can be strongly confined to their sites. The localization is obtained by constructing a sequence of on-site energies that efficiently suppresses resonant hopping. The time during which a many-particle state remains strongly localized in an infinite chain can exceed the reciprocal hopping frequency by $\agt 10^6$ already for a narrow energy bandwidth. The results show viability of quantum computers with time-independent qubit coupling.
Many-particle confinement (localization) is studied for a 1D system of spinless fermions with nearest-neighbor hopping and interaction, or equivalently, for an anisotropic Heisenberg spin-1/2 chain. This system is frequently used to model quantum computers with perpetually coupled qubits. We construct a bounded sequence of site energies that leads to strong single-particle confinement of all states on individual sites. We show that this sequence also leads to a confinement of all many-particle states in an infinite system for a time that scales as a high power of the reciprocal hopping integral. The confinement is achieved for strong interaction between the particles while keeping the overall bandwidth of site energies comparatively small. The results show viability of quantum computing with time-independent qubit coupling.
We demonstrate the onset of strong localization in a one dimensional fermion system, where all particles are almost completely confined to their sites. The on‐site localization is obtained by constructing a bounded one‐parameter sequence of site energies that eliminates resonant hopping between both nearest and remote sites. In an infinite system the time during which all many‐particle states remain on‐site localized scales as a high power of the ratio of the bandwidth of site energies to the hopping integral. The results apply to a system of perpetually coupled qubits and demonstrate that such system can be used for quantum computing.
We demonstrate that, in a quantum computer with perpetually coupled qubits, all excitations can be confined to their sites (qubits) even without refocusing. The on-site localization is obtained by constructing a sequence of qubit energies that efficiently suppresses resonant hopping. The time during which a many-excitation state remains strongly localized in an infinite chain can exceed the reciprocal hopping frequency by $\agt 10^5$ already for a moderate bandwidth of qubit energies. The proposed energy sequence is also convenient for performing quantum operations on the qubits.
We use the von Neumann entropy to study the single- and many-particle on-site localizations of stationary states for an anisotropic Heisenberg spin-12\frac{1}{2}21​ chain. With a constructed bounded sequence of on-site energies for single- and many-particle systems we demonstrate that the von Neumann entropy approaches zero, indicating strong on-site localizations for all states. On the contrary, random on-site energy sequence does not lead to strong on-site confinement of all states. Our numerical results indicate that the von Neumann entropy provides insight to analyze on-site localizations for these systems.